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Finding the Fourth Proportional to 109,969.30, 164,953.95 and 94,222.90

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Solution

The fourth proportional to 109,969.30, 164,953.95 and 94,222.90 is: 141,334.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,969.30 : 164,953.95 = 94,222.90 : x
  2. Step 2: Convert to fraction form
    109,969.30/164,953.95 = 94,222.90/x
  3. Step 3: Cross multiply
    109,969.30x = 164,953.95 × 94,222.90
  4. Step 4: Simplify right side
    109,969.30x = 15,542,439,535.46
  5. Step 5: Solve for x
    x = 15,542,439,535.46/109,969.30
  6. Step 6: Final answer
    x = 141,334.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.